Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
Statistical Mechanics
2019-09-11 v1
Abstract
An equivalence between non equilibrium steady states (NESS) driven by a time-independent force and stochastic pumps (SP) stirred by a time-varying conservative force is studied for general many-body diffusive systems. When the particle density and current of NESS are imitated by SP time-averaged counterparts, we prove that the entropy production rate in NESS is always greater than that of SP, provided that the conductivity of the particle current is concave as a function of the particle density. Searching for a SP protocol that saturates the entropy production bound reveals an unexpected connection with traffic waves, where a high density region propagates against the direction of the particle current.
Keywords
Cite
@article{arxiv.1904.11787,
title = {Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems},
author = {Ohad Shpielberg and Takahiro Nemoto},
journal= {arXiv preprint arXiv:1904.11787},
year = {2019}
}
Comments
9 pages, 3 figures